2101000102020 has 72 divisors (see below), whose sum is σ = 6592793439960. Its totient is φ = 540947151360.

The previous prime is 2101000101997. The next prime is 2101000102031. The reversal of 2101000102020 is 202010001012.

It can be written as a sum of positive squares in 4 ways, for example, as 2494403136 + 2098505698884 = 49944^2 + 1448622^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101000101993 and 2101000102011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201240001 + ... + 201250440.

It is an arithmetic number, because the mean of its divisors is an integer number (91566575555).

Almost surely, 2^{2101000102020} is an apocalyptic number.

2101000102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101000102020 is an abundant number, since it is smaller than the sum of its proper divisors (4491793337940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101000102020 is a wasteful number, since it uses less digits than its factorization.

2101000102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402490485 (or 402490480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101000102020 its reverse (202010001012), we get a palindrome (2303010103032).

The spelling of 2101000102020 in words is "two trillion, one hundred one billion, one hundred two thousand, twenty".